WEBVTT
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What is the slope of a line passing through points three, five and seven, nine?
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When weβre working with linear equations and finding the slope, we usually use the letter π to represent the slope and we say that the slope is the changes in π¦ over the changes in π₯.
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Numerically, we represent that as π¦ two minus π¦ one over π₯ two minus π₯ one.
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Letβs label our point one and point two.
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Point one we call π₯ one, π¦ one and point two π₯ two, π¦ two.
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Weβll use this information and plug it in our formula: π equals, our slope equals, in place of π¦ two minus π¦ one weβll substitute nine minus five, and in place of π₯ two minus π₯ one weβll substitute seven minus three.
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Nine minus five equals four.
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Seven minus three equals four.
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Four over four equals one.
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The slope of the line that passes through these points is equal to one.